About this Journal Submit a Manuscript Table of Contents
Advances in Numerical Analysis
Volume 2012 (2012), Article ID 912810, 10 pages
http://dx.doi.org/10.1155/2012/912810
Research Article

Approximation Solution of Fractional Partial Differential Equations by Neural Networks

Department of Mathematics, Faculty of Education, Thamar University, Thamar, Yemen

Received 1 October 2011; Accepted 21 November 2011

Academic Editor: Muhammed I. Syam

Copyright © 2012 Adel A. S. Almarashi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Neural networks with radial basis functions method are used to solve a class of initial boundary value of fractional partial differential equations with variable coefficients on a finite domain. It takes the case where a left-handed or right-handed fractional spatial derivative may be present in the partial differential equations. Convergence of this method will be discussed in the paper. A numerical example using neural networks RBF method for a two-sided fractional PDE also will be presented and compared with other methods.